The most typical energy conservation problem:

A roller-coaster of mass of 1010 kg starts at the top of a hill with a height of 2020 m and begins to slide down the hill purely due to gravity. At the other side there is another hill of height of 1515 m. What is the final velocity of the roller-coaster in m/s? Use 10m/s210 m/s^2 as gg and assume friction is negligible.

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